2556964541 has 2 divisors, whose sum is σ = 2556964542. Its totient is φ = 2556964540.

The previous prime is 2556964519. The next prime is 2556964567. The reversal of 2556964541 is 1454696552.

2556964541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2312167225 + 244797316 = 48085^2 + 15646^2 .

It is a cyclic number.

It is not a de Polignac number, because 2556964541 - 2⁶ = 2556964477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2556964591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278482270 + 1278482271.

It is an arithmetic number, because the mean of its divisors is an integer number (1278482271).

Almost surely, 2^2556964541 is an apocalyptic number.

It is an amenable number.

2556964541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2556964541 is an equidigital number, since it uses as much as digits as its factorization.

2556964541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296000, while the sum is 47.

The square root of 2556964541 is about 50566.4369023565. The cubic root of 2556964541 is about 1367.4398599707.

The spelling of 2556964541 in words is "two billion, five hundred fifty-six million, nine hundred sixty-four thousand, five hundred forty-one".